The table shows the number of glass bottles of different colors in a shelf. A fair coin is shown below the table.

Color of
Glass Bottle Number
Red
9
Blue
1
Green
6
Purple
4

A coin
Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin. What is the probability that he will select a purple glass bottle and that the coin will land heads up? (5 points)

1 over 10

1 over 8

1 over 6

1 over 5

1 answer

To calculate the probability of selecting a purple glass bottle and the coin landing heads up, we need to first find the total number of purple glass bottles. From the table, we see that there are 4 purple glass bottles.

Next, we determine the total number of glass bottles. Adding up all the numbers in the table, we find that there are a total of 20 glass bottles.

The probability of selecting a purple glass bottle is therefore 4/20 = 1/5.

Since the coin is fair, the probability of it landing heads up is 1/2.

To find the probability of both events happening, we multiply the probabilities:
(1/5) * (1/2) = 1/10

Therefore, the probability that Danny will select a purple glass bottle and the coin will land heads up is 1/10. The answer is 1 over 10.